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Finding the Fourth Proportional to 2,779.06, 4,168.59 and 832.63

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Solution

The fourth proportional to 2,779.06, 4,168.59 and 832.63 is: 1,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.06 : 4,168.59 = 832.63 : x
  2. Step 2: Convert to fraction form
    2,779.06/4,168.59 = 832.63/x
  3. Step 3: Cross multiply
    2,779.06x = 4,168.59 × 832.63
  4. Step 4: Simplify right side
    2,779.06x = 3,470,893.09
  5. Step 5: Solve for x
    x = 3,470,893.09/2,779.06
  6. Step 6: Final answer
    x = 1,248.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.